DigitalCommons@WayneState

Title

Metric Regularity and Lipschitzian Stability of Parametric Variational Systems

Authors

Francisco J. Aragón Artacho, University of Alicante, SpainFollow
Boris S. Mordukhovich, Wayne State UniversityFollow

Document Type

Technical Report

Abstract

The paper concerns the study of variational systems described by parameterized generalized equations/variational conditions important for many aspects of nonlinear analysis, optimization, and their applications. Focusing on the fundamental properties of metric regularity and Lipschitzian stability, we establish various qualitative and quantitative relationships between these properties for multivalued parts/fields of parametric generalized equations and the corresponding solution maps for them in the framework of arbitrary Banach spaces of decision and parameter variables.

Number in Series

2009.05

Disciplines

Applied Mathematics | Mathematics

Comments

This research was partially supported by MICINN of Spain, grant MTM2008-06695-C03-0l and program "Juan de la Cierva"; and by the USA National Science Foundation under grant DMS-0603846.

Recommended Citation

Aragón Artacho, Francisco J. and Mordukhovich, Boris S., "Metric Regularity and Lipschitzian Stability of Parametric Variational Systems" (2009). Mathematics Research Reports. 66.
https://digitalcommons.wayne.edu/math_reports/66